I've been wondering how all those indefinite integrals in a comprehensive table were figured out. Can they all be done with one (or some combination) of the standard methods, (substitution, parts etc.)? Or did somebody just poke around until they figured them out? For example, how do you find that Int(dx/cosx) = ln(1/cosx + tanx)?(adsbygoogle = window.adsbygoogle || []).push({});

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# Integral tables

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